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Finding the Fourth Proportional to 5,129.54, 7,696.44 and 2,459.78

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Solution

The fourth proportional to 5,129.54, 7,696.44 and 2,459.78 is: 3,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.54 : 7,696.44 = 2,459.78 : x
  2. Step 2: Convert to fraction form
    5,129.54/7,696.44 = 2,459.78/x
  3. Step 3: Cross multiply
    5,129.54x = 7,696.44 × 2,459.78
  4. Step 4: Simplify right side
    5,129.54x = 18,931,549.18
  5. Step 5: Solve for x
    x = 18,931,549.18/5,129.54
  6. Step 6: Final answer
    x = 3,690.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.